4. Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One
card is drawn at random from the box. What is the probability that the cards are marked
with (i) a prime number (i) an even number (mm) a number multiple of 5 (M) a number
divisible by 6 and (v) a number 4.
Answers
Answer:
Probability of prime number is 1
Probability of even number is 12/25
Probability of multiple of 5 is 1
Probability of number 4 is 1/25
Probability of number divisible by 6 is 4/25
Given : Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box.
To Find : probability that the cards are marked with
(i)a prime number
(ii)an even number
(iii)a number multiple of 5
(iv)a number divisible by 6
(v)a number 4.
Solution:
Cards are marked with numbers 1 to 25
=> n(S) =25
Prime Number - 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23
= 9
Probability prime number = 9/25 =0.36
an even number
2 , 4 , 6 ...................................., 22 , 24
= 12
Probability even number = 12/25 = 0.48
a number multiple of 5
5 , 10 , 15 , 20 , 25
Probability a number multiple of 5 = 5/25 = 0.2
Divisible by 6
6 , 12 , 18 , 24
Probability
Divisible by 6 = 4/25 = 0.16
Probability number 4 = 1/25 = 0.04
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